4 citations · 4 across the 2 of their papers we have counts for
7 papers
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty
Erik Burman, Johnny Guzman
We consider a finite element method with symmetric stabilisation for the discretisation of the transient convection--diffusion equation. For the time-discretisation we consider eit…
Estimation of the continuity constants for Bogovski\uı and regularized Poincaré integral operators
Johnny Guzman, Abner J. Salgado
We study the dependence of the continuity constants for the regularized Poincaré and Bogovski\uı integral operators acting on differential forms defined on a domain of $\mathbb…
Convergence of Lagrange finite elements for the Maxwell Eigenvalue Problem in 2D
Daniele Boffi, Johnny Guzman, Michael Neilan
We consider finite element approximations of the Maxwell eigenvalue problem in two dimensions. We prove, in certain settings, convergence of the discrete eigenvalues using Lagrange…
Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated
Todd Dupont, Johnny Guzman, Ridgway Scott
We study two techniques for correcting the geometrical error associated with domain approximation by a polygon. The first was introduced some time ago \cite{bramble1972projection}…
Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem
Erik Burman, Rebecca Durst, Johnny Guzman
We analyze a splitting method for a canonical fluid structure interaction problem. The splittling method uses a Robin-Robin boundary condition, explicit strategy. We prove the meth…
Well-posedness and H(div)-conforming finite element approximation of a linearised model for inviscid incompressible flow
Gabriel Barrenechea, Erik Burman, Johnny Guzmàn
We consider a linearised model of incompressible inviscid flow. Using a regularisation based on the Hodge Laplacian we prove existence and uniqueness of weak solutions for smooth d…